Question
In: Statistics and Probability
Suppose we examined samples of size n = 50 from the population of Basic Statistics classes...
Suppose we examined samples of size n = 50 from the population of Basic Statistics classes that I have taught at AU. Suppose that the sample mean is equal to 6.42 hours, and the population standard deviation is 6.72 hours.
a. Find a 95% confidence interval for the mean number of hours of television watched by this population of Basic Statistics students, using the information described above.
b. Does this confidence interval contain the population mean?
c. Suppose I gather 100 SRS of size 50, and I calculate 100 95% confidence intervals in the usual way. About how many of these would contain the population mean?
d. Find an 80% confidence interval for the mean number of hours of television watched by this population of Basic Statistics students.
e. Would it be good to use an 80% confidence interval? Why?
Solutions
orchestra answered 1 year agoRelated Solutions
Suppose samples of size 100 are drawn randomly from a population of size 1000 and the...
Suppose samples of size 100 are drawn randomly from a population
of size 1000 and the population has a mean of 20 and a standard
deviation of 5. What is the probability of observing a sample mean
equal to or greater than 21?
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to...
Suppose we have a random sample of size 50 from a N(μ,σ2) PDF.
We wish to test H0: μ=10 versus H1: μ=10. The sample moments are x
̄ = 13.4508 and s2 = 65.8016. (a) Find the critical
region C and test the null hypothesis at the 5% level. What is your
decision? (b) What is the p-value for your decision? (c) What is a
95% confidence interval for μ?
Random samples of size n = 90 were selected from a binomial population with p =...
Random samples of size n = 90 were selected from a
binomial population with p = 0.8. Use the normal
distribution to approximate the following probability. (Round your
answer to four decimal places.)
P(p̂ > 0.78) =
Random samples of size n = 60 were selected from a binomial population with p =...
Random samples of size n = 60 were selected from a
binomial population with p = 0.2. Use the normal
distribution to approximate the following probabilities. (Round
your answers to four decimal places.)
(a)
P(p̂ ≤ 0.22) =
(b)
P(0.18 ≤ p̂ ≤ 0.22) =
A random sample of size n = 50 is taken from a population with mean μ...
A random sample of size n = 50 is taken from a
population with mean μ = −9.5 and standard deviation
σ = 2. [You may find it useful to reference
the z table.]
a. Calculate the expected value and the
standard error for the sampling distribution of the sample mean.
(Negative values should be indicated by a minus sign.
Round "expected value" to 1 decimal place and
"standard deviation" to 4 decimal places.)
Expected Value=
Standard Error=
b. What...
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a
population whose size is N= 30,000 and whose population proportion
with a specified characteristic is p= 0.4 .
A) Determine the standard deviation of the sampling distribution
of p hat (Round to 6 decimals)
B) What is the probability of obtaining x=33 or more individuals
with the characteristic? That is, what is P(p ≥0.44)? (Round to
4 decimals)
Suppose a simple random sample of size n=1000 is obtained from a population whose size is...
Suppose a simple random sample of size n=1000 is obtained from a
population whose size is N=2,000,000 and whose population
proportion with a specified characteristic is p = 0.22
a. What is the probability of obtaining x=250 or more
individuals with the characteristic?
Suppose a simple random sample of size n=75 is obtained from a population whose size is...
Suppose a simple random sample of size n=75 is obtained from a
population whose size is N=15,000 and whose population proportion
with a specified characteristic is p=0.8.
a) Determine the mean of the sampling distribution of p with
caret.
Determine the standard deviation of the sampling distribution of
p with caret.
b) What is the probability of obtaining x=66 or more individuals
with the characteristic? That is, what is P(p with caret greater
than or equals 0.88)?
What is the...
Suppose a simple random sample of size n= 1000 is obtained from a population whose size...
Suppose a simple random sample of size n= 1000 is obtained from
a population whose size is N=2,000,000 and whose population
proportion with a specified characteristic is p= 0.65.
(a) Describe the sampling distribution of
(b) What is the probability of obtaining x= 690 or more
individuals with the characteristic?
(c) What is the probability of obtaining x = 620 or fewer
individuals with the characteristic?
Suppose a simple random sample of size n=200 is obtained from a population whose size is...
Suppose a simple random sample of size n=200 is obtained from a
population whose size is Upper N= 20,000 and whose population
proportion with a specified characteristic is
p equals 0.6 .p=0.6. Complete parts (a) through (c) below.
(a) Determine the standard deviation
(b) What is the probability of obtaining x=124 or more
individuals with the characteristic? That is, what is
P(p≥0.62)?
(c) What is the probability of obtaining x=106 or fewer
individuals with the characteristic? That is, what is...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Regardless of the legal issues, do you feel it is fair for an employer to require...
- An investor believes that there will be a big jump in a stock price, but is...
- What experiences have you had with adaptation? Have you experienced culture shock and “return” culture shock?
- C language only please and please make a simple code Write a function that will find...
- Write a class DataSet that stores a number of values of type double in an array...
- Modern; The Accordionist by Pablo Picasso aritst 1How is it inspiring? 2In what way is it...
- Which of the following is not a router component? Group of answer choices RAM NVRAM Flash...
ADVERTISEMENT